Continuity and Differentiability Extra questions: 1) If f(x) = is continuous at x = 0‚ find the value of a and b 2) A function f is defined as f(x) = for x 1 = - for x = 1. Show that f(x) is differentiable at x = 1 and find its value 3) Let f(x) = if x 2 = k‚ if x = 2. If f(x) is continuous for all x‚ then find the value of k. 4) Let f(x) be a function of x defined as f(x) = ‚ x 1
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1.What were the triggers of cultural change in Japan during the 1990s? How is cultural change starting to affect traditional values in Japan? In the 1990s when Japanese economic growth slowed down for a long time firms where forced to change the way of doing business. They started to fire older employees. The younger generation‚ which grow up wealthy‚ saw this process and concluded that loyalty to one company might be not the best for themselves. The difference between the postwar generation and
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LIMITS AND CONTINUITY 1. The concept of limit x2 − 4 . Examine the behavior of f (x) as x approaches 2. Example 1.1. Let f (x) = x−2 Solution. Let us compute some values of f (x) for x close to 2‚ as in the tables below. We see from the first table that f (x) is getting closer and closer to 4 as x approaches 2 from the left side. We express this by saying that “the limit of f (x) as x approaches 2 from left is 4”‚ and write x→2− lim f (x) = 4. Similarly‚ by looking at the second table
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Industrialization on Japan from 1750-1914 In the 1750s‚ Japan was ruled by the Tokugawa shogunate‚ which had seized control of the country at the beginning of the 17th century. The shogunate centralized Japan and transformed it from a constantly warring collection of disunified states into a single country at peace. The Tokugawa shogunate ruled Japan from the early 17th century until 1868‚ a period when Japan was well behind the industrialization of other nations. During the Meiji period‚ from 1868 to 1912
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Moto: Coming to America from Japan Jesús Pérez Hernando David Cabello López Question 1 What was Moto´s purpose and agenda for the first meeting with Crowell? How does he try to implement his agenda? Moto’s originally intended to close a contract for the sale of his company with one of the best companies in America for which to make an appointment with Mr Crowell Allmack president‚ the company which wanted to Moto’s closing. Moto in this first meeting was intended to give a good impression‚ give
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Sub-saharan Africa has undergone changes with religion such as the changing of religious affiliation to Christianity and the practices of cosmology and ontology‚ however‚ Sub-saharan Africa has also remained constant with their thoughts being focused on various beliefs like a creator and evil. Christianity was predominantly the main religion in Sub-saharan Africa opposed to the Muslims of North Africa. Christianity in the Americas slowly began to send out missionaries to spread the Gospel and build
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In the poetry of 1914 there is both crude propaganda and poems that are subtle and deeply moving if naïve. The poetry in 1914 had purpose for why they were written. Some were written with the intent of trying to enlist more men for the war because the authors believed that all men should fight for their country. While others were to show everyone that war is not so glorious and there is nothing sweet about fighting for their country. Either way‚ they all used naïve idealism or sometimes crude propaganda
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Japan has a population of just over 126 million people‚ although each year this number slowly decreases due to the birth rate of 1.39 per couple1. As well as the fact that Japan is an extremely homogenous society with 99% of citizens and residents being Japanese with 1% of their population being non-Japanese. The declining population reflects highly upon society as many Japanese in their twenties feel they are too busy working to raise children‚ as well as the rising cost of living making it hard
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fifth. During the long decline‚ great self-made figures‚ never from Rome but from the fringes of the empire‚ come forward and seek‚ by heroic efforts‚ to restore the unity‚ the security‚ the stability of the empire. They are famous figures in politics‚ religion‚ and art. The Roman Empire from 100 C.E. – 600 C.E. had many cultural and political changes as well as cultural and political continuities. There were many political changes from the Roman Empire to the Byzantine Empire. The Roman Empire
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scenarios: (a) Ocean Carriers is a U.S. firm subject to 35% taxation. (b) Ocean Carriers is located in Hong Kong‚ where owners of Hong Kong ships are not required to pay any tax on profits made overseas and are also exempted from paying any tax on profit made on cargo uplifted from Hong Kong. 3. What do you think of the company’s policy of not operation ships over 15 years old? Based on your analysis‚ should the firm scrap the new ship at 15 years of age or continue operating it till age 25? Your analysis
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